Inclined PLane Force problem

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chimez14
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Homework Statement


Question:
An engine is used to pull a train of two cars out of a mine. The floor slopes upward at an angle of 22 degrees. Each car has a mass of 1.1x10^4 Kg and normally travels without friction on the tracks. The engine can exert a maximum force of 1.6x10^5 N on car A. If the engineer again throttles back so that the force exerted by the engine on car A decreases at the constant rate of 2.9 N per second, how long before the train stops moving up the track? Assume the original speed was 3.4 m/s

Homework Equations


F= Fmax-2.9t
acceleration=(Fmax-2.9t-mgsin(x))/m

The Attempt at a Solution


[(Fmax-mgsin(x))/m]T-[(1.45/m)]T^2=0
incase u havnt realized we're solving for "T"
 

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